Xuefeng Wei, Chun Shen
Abstract:
This article concerns the wave interaction problem for a
strictly hyperbolic system of conservation laws whose Riemann
solutions involve delta shock waves. To cover all situations,
the global solutions are constructed when the initial data are taken
as three piecewise constant states. It is shown that the Riemann
solutions are stable with respect to a specific small perturbation of
the Riemann initial data.
In addition, some interesting nonlinear phenomena are captured during
the process of constructing the solutions, such as the generation and
decomposition of delta shock waves.
Submitted September 22, 2016. Published December 14, 2016.
Math Subject Classifications: 35L65, 35L67, 76N15.
Key Words: Delta shock wave; wave interaction; Riemann problem;
strict hyperbolicity.
Show me the PDF file (792 KB), TEX file for this article.
 |
Xuefeng Wei School of Mathematics and Statistics Science Ludong University Yantai, Shandong Province 264025, China email: 50816179@qq.com |
|---|---|
 |
Chun Shen School of Mathematics and Statistics Science Ludong University Yantai, Shandong Province 264025, China email: shenchun3641@sina.com |
Return to the EJDE web page